459998602560 has 896 divisors, whose sum is σ = 1924517928960. Its totient is φ = 101248745472.

The previous prime is 459998602537. The next prime is 459998602619. The reversal of 459998602560 is 65206899954.

459998602560 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 9 + 8 + 60 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189845509 + ... + 189847931.

Almost surely, 2^459998602560 is an apocalyptic number.

459998602560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459998602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962258964480).

459998602560 is an abundant number, since it is smaller than the sum of its proper divisors (1464519326400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

459998602560 is a wasteful number, since it uses less digits than its factorization.

459998602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 459998602560 in words is "four hundred fifty-nine billion, nine hundred ninety-eight million, six hundred two thousand, five hundred sixty".